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g=15-(m)/( 32)
If Vera starts with a full tank of gas, the number of gallons of gas,
g, left in the tank after driving
m miles is given by the equation. When full, how many gallons of gas does Vera's tank hold?

$g=15-\frac{m}{32}$ $\newline$ If Vera starts with a full tank of gas, the number of gallons of gas, $g$ , left in the tank after driving $m$ miles is given by the equation. When full, how many gallons of gas does Vera's tank hold?

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Write linear functions: word problems

Full solution

Q.

g=15-\frac{m}{32}

\newline

If Vera starts with a full tank of gas, the number of gallons of gas,

g

, left in the tank after driving

m

miles is given by the equation. When full, how many gallons of gas does Vera's tank hold?

Understand the equation: Understand the equation given for the number of gallons of gas left in the tank. $\newline$ The equation $g = 15 - (m / 32)$ represents the number of gallons, $g$ , left in the tank after driving $m$ miles. To find out how many gallons the tank holds when full, we need to consider the value of $g$ when $m$ is $0$ , since no gas has been used yet.
Substitute $m = 0$ : Substitute $m = 0$ into the equation to find the full capacity of the tank. $\newline$ If Vera starts with a full tank of gas, then she has not driven any miles, so $m = 0$ . We substitute $m = 0$ into the equation to find the full capacity of the tank. $\newline$ $g = 15 - (0 / 32)$
Simplify the equation: Simplify the equation to find the value of $g$ when the tank is full. $g = 15 - (0 / 32)$ $g = 15 - 0$ $g = 15$

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